\documentclass{article}

\usepackage{../../util}

\title{Vector Calculus}
\author{Cambridge University Mathematical Tripos: Part IA}

\begin{document}
\maketitle

\tableofcontentsnewpage{}

\section{Differential geometry of curves}
\input{01_differential_geometry_of_curves.tex}
\section{Coordinates, differentials and gradients}
\input{02_coordinates_differentials_and_gradients.tex}
\section{Integration over lines}
\input{03_integration_over_lines.tex}
\section{Integration in Euclidean space}
\input{04_integration_in_euclidean_space.tex}
\section{Integration over surfaces}
\input{05_integration_over_surfaces.tex}
\section{Differential operators}
\input{06_differential_operators.tex}
\section{Integral theorems}
\input{07_integral_theorems.tex}
\section{Maxwell's equations}
\input{08_maxwell_s_equations.tex}
\section{Poisson's and Laplace's equations}
\input{09_poisson_s_and_laplace_s_equations.tex}
\section{Cartesian tensors}
\input{10_cartesian_tensors.tex}
\section{Tensor calculus}
\input{11_tensor_calculus.tex}
\section{Properties of tensors}
\input{12_properties_of_tensors.tex}

\end{document}
